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Linear functions SAT question
Math · Algebra · Easy · Answer it here, explanation included.
Which of the following is the graph of the equation 
in the xy-plane?
ExplanationShow
Choice D is correct. In the xy-plane, the graph of the equation 
, where m and b are constants, is a line with slope m and y-intercept 
. Therefore, the graph of in the xy-plane is a line with slope 2 and a y-intercept 
. Having a slope of 2 means that for each increase in x by 1, the value of y increases by 2. Only the graph in choice D has a slope of 2 and crosses the y-axis at . Therefore, the graph shown in choice D must be the correct answer.
Choices A, B, and C are incorrect. The graph of in the xy-plane is a line with slope 2 and a y-intercept at . The graph in choice A crosses the y-axis at the point 
, not , and it has a slope of 
, not 2. The graph in choice B crosses the y-axis at ; however, the slope of this line is 
, not 2. The graph in choice C has a slope of 2; however, the graph crosses the y-axis at 
, not .
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